Punjab State Board PSEB 7th Class Maths Book Solutions Chapter 3 Data Handling Ex 3.4 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.4

1. State whether the following is certain to happen, impossible to happen, may happen.

Question (i).

Two hundred people sit in a Maruti car.

Answer:

Impossible to happen.

Question (ii).

You are older than yesterday.

Answer:

Certain to happen.

Question (iii).

A tossed coin will land heads up.

Answer:

Can happen but not certain.

Question (iv).

A die when rolled shall land up 8 on top.

Answer:

Impossible to happen.

Question (v).

Tommorrow will be a cloudy day.

Answer:

Can happen but not certain.

Question (vi).

India will win the next test series.

Answer:

Can happen but not certain.

Question (vii).

The next traffic light seen will be green.

Answer:

Can happen but not certain.

2. There are 6 marbles in a box with numbers 1 to 6 marked on them.

(i) What is the probability of drawing a marble with number 5 ?

(ii) What is the probability of drawing a marble with number 2 ?

Solution:

Sample space : {1, 2, 3, 4, 5, 6}

There are 6 equally likely possible outcomes.

Outcomes : 1, 2, 3, 4, 5 or 6.

(i) Probability of drawing a marble with number 5 = \(\frac {1}{6}\)

(ii) Probability of drawing a marble with number 2 = \(\frac {1}{6}\)

3. There are two teams A and B. A coin is flipped to decide which team starts the game. What is the probability that team A will start ?

Solution:

When a coin is tossed once. The number of possible outcomes is head or tail

Sample space : [H, T]

The probability of getting head or tail is equal and is \(\frac {1}{2}\) for each.

∴ The probability that team A will start = \(\frac {1}{2}\)

4. A bag contains 3 red and 7 green balls. One ball is drawn at random from the bag. Find the probability of getting (i) a red ball (ii) a green ball.

Solution:

Total number of balls in the bag = 3 + 7 = 10

(i) The event is getting a red ball.

Probability (getting a red ball) = \(\frac {3}{10}\)

(ii) The event is getting a green ball.

Probability (getting a green ball) = \(\frac {7}{10}\)

5. Multiple Choice Questions :

Question (i).

The probability of an impossible event is : ………………

(a) -1

(b) 0

(c) \(\frac {1}{2}\)

(d) 1.

Answer:

(b) 0

Question (ii).

The probability of selecting letter G from the world ‘GIRL’ is :

(a) 1

(b) \(\frac {1}{2}\)

(c) \(\frac {1}{4}\)

(d) \(\frac {1}{3}\)

Answer:

(c) \(\frac {1}{4}\)

Question (iii).

When a die is thrown, the probability of getting a number 4 is :

(a) \(\frac {1}{2}\)

(b) \(\frac {1}{3}\)

(c) \(\frac {4}{6}\)

(d) \(\frac {1}{6}\)

Answer:

(d) \(\frac {1}{6}\)

Question (iv).

A bag contains 5 white balls and 10 black balls. The probability of drawing a white ball from the bag is :

(a) \(\frac {5}{10}\)

(b) \(\frac {5}{15}\)

(c) \(\frac {10}{15}\)

(d) 1

Answer:

(b) \(\frac {5}{15}\)